34400826 has 48 divisors (see below), whose sum is σ = 79396200. Its totient is φ = 10764672.

The previous prime is 34400813. The next prime is 34400827. The reversal of 34400826 is 62800443.

It can be written as a sum of positive squares in 4 ways, for example, as 27029601 + 7371225 = 5199^2 + 2715^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34400826.

It is not an unprimeable number, because it can be changed into a prime (34400827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88240 + ... + 88628.

Almost surely, 2^34400826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39698100).

34400826 is an abundant number, since it is smaller than the sum of its proper divisors (44995374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34400826 is a wasteful number, since it uses less digits than its factorization.

34400826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34400826 is about 5865.2217349389. The cubic root of 34400826 is about 325.2292693889.

The spelling of 34400826 in words is "thirty-four million, four hundred thousand, eight hundred twenty-six".